and many more benefits!

GMAT Club Timer Informer

Hi GMATClubber!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Re: For a certain concert, the price of balcony tickets was exactly half
[#permalink]

Show Tags

27 Sep 2015, 12:23

Bunuel wrote:

For a certain concert, the price of balcony tickets was exactly half the price of orchestra tickets. The ratio of balcony to orchestra tickets sold was 3:2. What was the price of one orchestra ticket?

(1) the total revenue taken in from tickets of both kinds was $4200

(2) the difference between the number of balcony tickets sold and the number of orchestra tickets sold was 40

Kudos for a correct solution.

Let x be the price of balcony tickets, then the price of orchestra ticket will be 2x.Let y be the common multiplier for the ratio of number of tickets sold. So the ratio is 3y:2y or the number of balcony tickets is 3y and the number of orchestra ticket is 2y.

Statement 1:Total revenue is 4200or 3xy+4xy=4200or 7xy=4200This statement provides no information about the number of seats.INSUFFICIENT

Statement 2:The difference between the number of two seats is 40.or 3y-2y=40or y=40This statement provides no information about the price of tickets.INSUFFICIENT

Re: For a certain concert, the price of balcony tickets was exactly half
[#permalink]

Show Tags

27 Sep 2015, 18:56

Bunuel wrote:

For a certain concert, the price of balcony tickets was exactly half the price of orchestra tickets. The ratio of balcony to orchestra tickets sold was 3:2. What was the price of one orchestra ticket?

(1) the total revenue taken in from tickets of both kinds was $4200

(2) the difference between the number of balcony tickets sold and the number of orchestra tickets sold was 40

Kudos for a correct solution.

1st Statement:balcony tickets cost was half of the orchestra tickets, so if the count ratio is 3:2 then the cost ratio is 3:4 by this we can calculate total earnings from each type,but not value of a individual tickethence not sufficient2nd statement:by this statement we can get the exact number of tickets for each type but we dont know the total cost, hence not sufficient

by combining both we can provide exact answer , hence answer is C_________________

-----------------------------------------Consider Cudos if you like this post.-----------------------------------------

Re: For a certain concert, the price of balcony tickets was exactly half
[#permalink]

Show Tags

27 Sep 2015, 23:33

For a certain concert, the price of balcony tickets was exactly half the price of orchestra tickets. The ratio of balcony to orchestra tickets sold was 3:2. What was the price of one orchestra ticket?

(1) the total revenue taken in from tickets of both kinds was $4200

(2) the difference between the number of balcony tickets sold and the number of orchestra tickets sold was 40

Kudos for a correct solution.Solution

When we talk about revenue - there has to be fixed number in terms of no of unit and price per unit .given price of orchestra tickets = xand price of balcony tickets = x/2ratio of balcony to orchestra tickets sold was 3:2

Required :the price of one orchestra ticket ??

St 1 : total revenue given =4200Revenue = (x/2) 3 + (x)2Note ratio of balcony to orchestra tickets sold was 3:2 ...no specific number given hence it is not possible to cal the the price of one orchestra ticket .

St 2: the difference between the number of balcony tickets sold and the number of orchestra tickets sold was 403y-2y=40 y =40

But not sufficient to cal the the price of one orchestra ticket . As price not given .

Together 1 and 2 we have both number of ticket and total revenue . Hence we can calculate the price of price of one orchestra ticket .